GATE ECE 2015 Set 2 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2015 Set 2

Numerical

-0

A unity negative feedback system has an open–loop transfer function $$G\left(s\right)=\frac K{s\left(s+1\right)}$$.The gain K for the system to have a damping ratio of 0.25 is _____________.

Your input ____

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

-0.6

The output of a standard second–order system for a unit step input is given as $$$y\left(t\right)=1-\frac2{\sqrt3}e^{-t}\cos\left(\sqrt3t\;-\;\frac{\mathrm\pi}6\right)$$$ The transfer function of the system is

$$\frac2{\left(s+2\right)\left(s+\sqrt3\right)}$$

$$\frac1{s^2+2s+1}$$

$$\frac3{s^2+2s+3}$$

$$\frac4{s^2+2s+4}$$

GATE ECE 2015 Set 2

Numerical

-0

The transfer function of a mass-spring damper system is given by $${\rm{G(s) = }}{1 \over {M{s^2} + Bs + K}}$$ The frequency response data for the system are given in the following table. GATE ECE 2015 Set 2 Control Systems - Frequency Response Analysis Question 18 English

GATE ECE 2015 Set 2 Control Systems - Frequency Response Analysis Question 18 English

The unit step response of the system approaches a steady state value of ______.

Your input ____

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

-0.6

A function of Boolean variables X,Y and Z is expressed in terms of the min-terms as F(X, Y, Z)=$$\sum\limits_{}^{} {} $$m(1,2,5,6,7) Which one of the product of sums given below is equal to the funtion F(X, Y, Z)?

$$(\overline X + \overline Y + \overline Z ).(\overline X + Y + Z).(X + \overline Y + \overline Z )$$

$$(X + Y + Z).(X + \overline Y + \overline Z ).(\overline X + Y + Z)$$

$$(\overline X + \overline Y + Z).(\overline X + Y + \overline Z ).(X + \overline Y + Z).(X + Y + \overline Z ).(X + Y + Z)$$

$$(X + Y + \overline Z ).(\overline X + Y + Z).(\overline X + Y + \overline Z ).((\overline X + \overline Y + Z).(\overline X + \overline Y + \overline Z )$$

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